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2 years ago

This table shows the varying costs for packages of juice.

Mathematics

1 answer:

Soloha48 [4]2 years ago

7 0

You need a picture of the table in order for us to solve

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What is the angle of rotation about the center that will map the regular pentagon onto itself

Andrew [12]

The answer is 180 degrees. The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

5 0

2 years ago

Read 2 more answers

Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125

Savatey [412]

we have that

$300 + 150 + 75 +...$

Let

$a1=300\\ a2=150\\ a3=75$

we know that

$\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50$

$\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50$

$a(n+1)=an*0.50$

Is a geometric sequence

Find the value of $a4$

$a(4)=a3*0.50$

$a(4)=75*0.50$

$a(4)=37.5$

Find the value of $a5$

$a(5)=a4*0.50$

$a(5)=37.5*0.50$

$a(5)=18.75$

Find $S5$

$S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25$

therefore

the answer is

$581.25$

Alternative Method

Applying the formula

$S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25$

therefore

the answer is

$581.25$

6 0

2 years ago

Read 2 more answers

What is the answer to this question

Anon25 [30]

Answer:

2118/12681

Step-by-step explanation:

Number of students absent in high school/Total number of students in high school

2118/12681

4 0

3 years ago

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create

neonofarm [45]

Answer:

The answer is 161.5

Step-by-step explanation:

Step-by-step explanation: The top half of the kite is 6 in times 17 in because 8.5 + 8.5 = 17 so its 102. Half of 102 is 51 so 51 is the area of the top half. The bottom half is 13 in times 17 in which equals 221. Half of 221 is 110.5. Then 110.5 + 51 = 161.5... So your answer is 161.5 square inches.

7 0

2 years ago

The regular price of a camera is 180.00 the camera is on sale for 25% off the regular price. What is the sales price of the came

Marrrta [24]

Answer:

$135

Step-by-step explanation:

180 decrease 25% =

180 × (1 - 25%) = 180 × (1 - 0.25) = 135

8 0

3 years ago